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Finding the Third Proportional to 947,612 and 2,046,946

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Solution

The third proportional to 947,612 and 2,046,946 is: 4,421,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,612 : 2,046,946 = 2,046,946 : x
  2. Step 2: Convert to fraction form
    947,612/2,046,946 = 2,046,946/x
  3. Step 3: Cross multiply
    947,612x = 2,046,946 × 2,046,946
  4. Step 4: Simplify right side
    947,612x = 4,189,987,926,916
  5. Step 5: Solve for x
    x = 4,189,987,926,916/947,612
  6. Step 6: Final answer
    x = 4,421,628.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.